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arXiv · 1102.1088

State morphism MV-algebras

A. Dvurecenskij·T. Kowalski·F. Montagna
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Abstract

We present a complete characterization of subdirectly irreducible MV-algebras with internal states (SMV-algebras). This allows us to classify subdirectly irreducible state morphism MV-algebras (SMMV-algebras) and describe single generators of the variety of SMMV-algebras, and show that we have a continuum of varieties of SMMV-algebras.

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A. Dvurecenskij, T. Kowalski, F. Montagna. 2011-02-05. State morphism MV-algebras. https://arxiv.org/abs/1102.1088

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